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327106560 = 21435113
BaseRepresentation
bin10011011111110…
…100000000000000
3211210111201211210
4103133310000000
51132214402220
652243010120
711051234304
oct2337640000
9753451753
10327106560
11158709000
1291669940
13529cbaa1
143162bd04
151dab56e0
hex137f4000

327106560 has 240 divisors, whose sum is σ = 1151301312. Its totient is φ = 79298560.

The previous prime is 327106553. The next prime is 327106567. The reversal of 327106560 is 65601723.

It is an interprime number because it is at equal distance from previous prime (327106553) and next prime (327106567).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 880 × 528 × 704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327106567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29736955 + ... + 29736965.

Almost surely, 2327106560 is an apocalyptic number.

327106560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575650656).

327106560 is an abundant number, since it is smaller than the sum of its proper divisors (824194752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

327106560 is an frugal number, since it uses more digits than its factorization.

327106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 327106560 is about 18086.0874707605. The cubic root of 327106560 is about 689.0167048457.

The spelling of 327106560 in words is "three hundred twenty-seven million, one hundred six thousand, five hundred sixty".